1.

One mole of Helium gas undergoes a reversible cyclic process ABCDA as shown in the figure.Assuming gas to be ideal, answer the following questions : What is the value of 'q' for the overall cyclic process:

Answer»

`-100 Rln2`
`+100Rln2`
`+200Rln2`
`-200Rln2`

Solution :`Q=q_(AB)+q_(BC)+q_(CD)+q_(DA)`
`=-1Rxx30ln2+1xx(5R)/2xx(400-300)+1Rxx400ln2+1xx(5R)/2xx(300-400)`
(`because q_(AB)=-W_(AB)=-1Rxx300ln2` since process is reversible isothermal for which `DeltaU=0`)
(`because q_(BC)=DeltaH_(BC)=1xx(5R)/2xx(400-300)` since process is reversible ISOBARIC )
(`because q_(CD)=-W_(CD)=1Rxx300ln2` since process is reversible isothermal for which `DeltaU=0` )
(`because q_(DA)=DeltaH_(AB)=1xx(5R)/2xx(300-400)` since process is reversible isobaric )
So, q=100 Rln2


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